Well, he could encounter unique mythical creatures that are specific to the woods. Maybe he'll find a hidden grove protected by dryads where he has to prove himself worthy to enter. It could also be that he discovers an ancient magic in the woods that helps him in his quests.
Well, Percy might be quite amused. He's used to all kinds of crazy adventures in his own life, and musical fanfiction could seem like an interesting new take. He might enjoy seeing how fans interpret his world through music and story in the fanfiction.
Percy Jackson's reactions to the musical fanfiction could be quite complex. Given his character, he is someone who has been through a lot in his own adventures. He might approach the musical fanfiction with a sense of curiosity. He would be intrigued by how the fans manage to translate his story, which is full of action, magic, and mythology, into a musical format. He may find some parts of it really cool, like the way the music might be used to enhance the mood of his battles or his relationships with other characters. At the same time, he might also feel a bit strange seeing his life being fictionalized in this way, but I think he'd eventually come to appreciate the love and enthusiasm that the fans put into creating these musical fanfictions.
Well, you could write a fanfiction where Percy gets transported to an alternate universe where the gods are different. Maybe they're more benevolent or more cruel. He would have to figure out how to survive in this new world. Also, a story about Percy having to train a new demigod who has powers that are completely opposite to his own could be really cool. It would be interesting to see how he adapts his teaching methods.
This type of fanfic could also take Percy on an adventure where his loneliness is a driving force. He's lost in a sense that he doesn't know where he's going in life. But his power gives him the ability to face the challenges. Maybe he discovers new aspects of his power while on this journey of self - discovery. He could meet new characters who help him understand that being powerful doesn't mean being alone and that he can find a new community even with his enhanced abilities.
He might become more self - reliant. Living in the woods, he has to rely on his own skills to find shelter, food, and water. This could make him tougher both physically and mentally.
There could be a fanfiction where the characters from Percy Jackson attend the same high school as the High School Musical crew. Imagine Annabeth Chase joining the academic decathlon team with Gabriella Montez. It would be filled with both academic rivalries and new friendships, and of course, some elements of Greek mythology sneaking into the high school musical world.
First, think about how the two universes can blend. Maybe the setting could be a high school that has both normal high school activities like in High School Musical and also secretly has demigods like in Percy Jackson. Then, pick characters from both. For example, you could start with a plot where Percy has to learn to sing for a school event because of some magical mishap.